A monopole-optimized effective interaction for tin isotopes

Abstract

We present a systematic configuration-interaction shell model calculation on the structure of light tin isotopes with a new global optimized effective interaction. The starting point of the calculation is the realistic CD-Bonn nucleon-nucleon potential. The unknown single-particle energies of the $1d_{3/2}$, $2s_{1/2}$ and $0h_{11/2}$ orbitals and the T=1 monopole interactions are determined by fitting to the binding energies of 157 low-lying yrast states in ${}^{102-132}$Sn. We apply the Hamiltonian to analyze the origin of the spin inversion between ${}^{101}$Sn and ${}^{103}$Sn that was observed recently and to explore the possible contribution from interaction terms beyond the normal pairing.

11 pages, 11 figures, 5 tables, version to appear in Phys. Rev. C

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• Shell-model study of quadrupole collectivity in light tin isotopes
• The anomalous quadrupole collectivity in Te isotopes
• Large-scale shell-model calculations on the spectroscopy of $N<126$ Pb isotopes
• $\gamma \gamma$ decay as a probe of neutrinoless $\beta \beta$ decay nuclear matrix elements
• The stellar beta-decay rate of 134Cs and its impact on the Barium nucleosynthesis in the s process
• Recent progress in configuration-interaction shell model
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• The union of rotational and vibrational modes in generator-coordinate-type calculations, with application to neutrinoless double-beta decay
• Nuclear states projected from a pair condensate
• Present Status of Nuclear Shell-Model Calculations of Neutrinoless Double-Beta Decay Matrix Elements
• Neutrinoless $\beta \beta$ decay nuclear matrix elements complete up to N${}^2$LO in heavy nuclei
• ${}^{138}\mathrm{Ba}(d,\alpha )$ study of states in ${}^{136}\mathrm{Cs}$: Implications for new physics searches with xenon detectors
• Two-neutrino $\beta \beta$ decay of ${}^{136}$Xe to the first excited $0^{+}$ state in ${}^{136}$Ba
• Theoretical analysis and predictions for the double electron capture of ${}^{124}$Xe
• Monopole and Seniority Truncations in the Large-Scale Configuration Interaction Shell Model Approach
• Large-scale configuration interaction description of the structure of nuclei around ${}^{100}$Sn and ${}^{208}$Pb
• Partial conservation of seniority in semi-magic nuclei
• Nucleon Electric Dipole Moments in Paramagnetic Molecules through Effective Field Theory
• Neutron occupancies and single-particle energies across the stable tin isotopes